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Simplifying 6 + 2(4x + -6) = 9 + -3(2x + 1) Reorder the terms: 6 + 2(-6 + 4x) = 9 + -3(2x + 1) 6 + (-6 * 2 + 4x * 2) = 9 + -3(2x + 1) 6 + (-12 + 8x) = 9 + -3(2x + 1) Combine like terms: 6 + -12 = -6 -6 + 8x = 9 + -3(2x + 1) Reorder the terms: -6 + 8x = 9 + -3(1 + 2x) -6 + 8x = 9 + (1 * -3 + 2x * -3) -6 + 8x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -6 + 8x = 6 + -6x Solving -6 + 8x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 8x + 6x = 6 + -6x + 6x Combine like terms: 8x + 6x = 14x -6 + 14x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 14x = 6 + 0 -6 + 14x = 6 Add '6' to each side of the equation. -6 + 6 + 14x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 6 + 6 14x = 6 + 6 Combine like terms: 6 + 6 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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